The derivative of sqrt(log(sin x)) w.r.t...

The derivative of `sqrt(log(sin x))` w.r.t. x is

A

`(1)/(2sqrt(tanx))`

B

`(1)/(2)sec^(2)x`

C

`(cotx)/(2sqrt(log(sinx)))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

C

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DIFFERENTIABILITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (FILL IN THE BLANKS QUESTIONS) TYPE-II|20 Videos
DIFFERENTIABILITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TRUE OR FALSE QUESTIONS) TYPE-III|6 Videos
DIFFERENTIABILITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|50 Videos
DIFFERENTAL QUATIONS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|41 Videos
INDEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|15 Videos

ACCURATE PUBLICATION-DIFFERENTIABILITY-QUESTIONS CARRYING 1 MARK (MCQ.s) TYPE-I

If y=tanx then (dy)/(dx) at x=(pi)/(4) is equal to:
Text Solution
|
If y= log (tan x), then dy/dx is:
Text Solution
|
The derivative of sqrt(log(sin x)) w.r.t. x is
Text Solution
|
The derivative of sqrt(log(cosx)) w.r.t. x is
Text Solution
|
Derivative of sin^(-1) (cos x) w.r.t. x equals
Text Solution
|
Derivative of cos^(-1) (sin x) w.r.t. x equals
Text Solution
|
If y=(tan^(-1)x)^(2) then (dy)/(dx) is equal to:
Text Solution
|
Derivative of (sin^-1 x + cos^-1 x) w.r.t 'x' is equal to :
Text Solution
|
If y= sin (sin^-1 x + cos^-1 x), x in [-1,1], then dy/dx is:
Text Solution
|
Derivative of (tan^-1 x + cot^-1 x) w.r.t 'x' is equal to :
Text Solution
|
d/dx{sin^-1(e^x)} is equal to :
Text Solution
|
(d)/(dx){cos^(-1)(e^(x))} is equal to:
Text Solution
|
lf y = sin x, then d^2y/dx^2 at x = pi/2 is equal to :
Text Solution
|
If y = sin x, then at x = pi/2, y2 is equal to
Text Solution
|
If y = tan x then at x = 0, y2 is equal to :
Text Solution
|
Let f(x)=|cosx|. Then,
Text Solution
|
The set of points where the functions f given by f(x)=|x-3|cosx is dif...
Text Solution
|
Differential coefficient of sec(tan^(-1)x) w.r.t. x is
Text Solution
|
If u = sin^-1(2x/(1+x)^2) and v = tan^-1(2x/(1-x^2)), the du/dv is
Text Solution
|
The set of points where the function f given by f(x)=|2x-1|sinx is dif...
Text Solution
|